368 citations · 1.4k across the 51 of their papers we have counts for
4 papers · 1 filter
First-order methods for constrained convex programming based on linearized augmented Lagrangian function
Yangyang Xu
First-order methods have been popularly used for solving large-scale problems. However, many existing works only consider unconstrained problems or those with simple constraint. In…
Iteration complexity of inexact augmented Lagrangian methods for constrained convex programming
Yangyang Xu
Augmented Lagrangian method (ALM) has been popularly used for solving constrained optimization problems. Practically, subproblems for updating primal variables in the framework of…
Asynchronous parallel primal-dual block coordinate update methods for affinely constrained convex programs
Yangyang Xu
Recent several years have witnessed the surge of asynchronous (async-) parallel computing methods due to the extremely big data involved in many modern applications and also the ad…
Accelerated Primal-Dual Proximal Block Coordinate Updating Methods for Constrained Convex Optimization
Yangyang Xu, Shuzhong Zhang
Block Coordinate Update (BCU) methods enjoy low per-update computational complexity because every time only one or a few block variables would need to be updated among possibly a l…